### Abstract

We present measurements of the velocity power spectrum and constraints on the growth rate of structure f sigma(8), at redshift zero, using the peculiar motions of 2062 galaxies in the completed 2MASS Tully-Fisher survey (2MTF). To accomplish this we introduce a model for fitting the velocity power spectrum including the effects of non-linear redshift space distortions (RSD), allowing us to recover unbiased fits down to scales k= 0.2 h Mpc(-1) without the need to smooth or grid the data. Our fitting methods are validated using a set of simulated 2MTF surveys. Using these simulations we also identify that the Gaussian distributed estimator for peculiar velocities of Watkins & Feldman is suitable for measuring the velocity power spectrum, but sub-optimal for the 2MTF data compared to using magnitude fluctuations delta m, and that, whilst our fits are robust to a change in fiducial cosmology, future peculiar velocity surveys with more constraining power may have to marginalize over this. We obtain scale-dependent constraints on the growth rate of structure in two bins, finding f sigma(8) = [0.55(-0.13)(+0.16), 0.40(-0.17)(+0.16)] in the ranges k = [0.007-0.055, 0.55-0.150] h Mpc(-)1. We also find consistent results using four bins. Assuming scale-independence we find a value f sigma(8) = 0.51(-0.08)(+0.09), a similar to 16 per cent measurement of the growth rate. Performing a consistency check of general relativity (GR) and combining our results with cosmic microwave background data only we find gamma = 0.45(-0.11)(+0.10), a remarkable constraint considering the small number of galaxies. All of our results are completely independent of the effects of galaxy bias, and fully consistent with the predictions of GR (scale-independent f sigma(8) and gamma approximate to 0.55).

Language | English |
---|---|

Pages | 3135-3151 |

Number of pages | 17 |

Journal | Monthly Notices of the Royal Astronomical Society |

Volume | 471 |

Issue number | 3 |

DOIs | |

State | Published - Nov 2017 |

### Cite this

*Monthly Notices of the Royal Astronomical Society*,

*471*(3), 3135-3151. DOI: 10.1093/mnras/stx1521

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*Monthly Notices of the Royal Astronomical Society*, vol 471, no. 3, pp. 3135-3151. DOI: 10.1093/mnras/stx1521

**2MTF-VI. Measuring the velocity power spectrum.** / Howlett, Cullan; Staveley-Smith, Lister; Elahi, Pascal J.; Hong, Tao; Jarrett, Tom H.; Jones, D. Heath; Koribalski, Barbel S.; Macri, Lucas M.; Masters, Karen L.; Springob, Christopher M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - 2MTF-VI. Measuring the velocity power spectrum

AU - Howlett,Cullan

AU - Staveley-Smith,Lister

AU - Elahi,Pascal J.

AU - Hong,Tao

AU - Jarrett,Tom H.

AU - Jones,D. Heath

AU - Koribalski,Barbel S.

AU - Macri,Lucas M.

AU - Masters,Karen L.

AU - Springob,Christopher M.

PY - 2017/11

Y1 - 2017/11

N2 - We present measurements of the velocity power spectrum and constraints on the growth rate of structure f sigma(8), at redshift zero, using the peculiar motions of 2062 galaxies in the completed 2MASS Tully-Fisher survey (2MTF). To accomplish this we introduce a model for fitting the velocity power spectrum including the effects of non-linear redshift space distortions (RSD), allowing us to recover unbiased fits down to scales k= 0.2 h Mpc(-1) without the need to smooth or grid the data. Our fitting methods are validated using a set of simulated 2MTF surveys. Using these simulations we also identify that the Gaussian distributed estimator for peculiar velocities of Watkins & Feldman is suitable for measuring the velocity power spectrum, but sub-optimal for the 2MTF data compared to using magnitude fluctuations delta m, and that, whilst our fits are robust to a change in fiducial cosmology, future peculiar velocity surveys with more constraining power may have to marginalize over this. We obtain scale-dependent constraints on the growth rate of structure in two bins, finding f sigma(8) = [0.55(-0.13)(+0.16), 0.40(-0.17)(+0.16)] in the ranges k = [0.007-0.055, 0.55-0.150] h Mpc(-)1. We also find consistent results using four bins. Assuming scale-independence we find a value f sigma(8) = 0.51(-0.08)(+0.09), a similar to 16 per cent measurement of the growth rate. Performing a consistency check of general relativity (GR) and combining our results with cosmic microwave background data only we find gamma = 0.45(-0.11)(+0.10), a remarkable constraint considering the small number of galaxies. All of our results are completely independent of the effects of galaxy bias, and fully consistent with the predictions of GR (scale-independent f sigma(8) and gamma approximate to 0.55).

AB - We present measurements of the velocity power spectrum and constraints on the growth rate of structure f sigma(8), at redshift zero, using the peculiar motions of 2062 galaxies in the completed 2MASS Tully-Fisher survey (2MTF). To accomplish this we introduce a model for fitting the velocity power spectrum including the effects of non-linear redshift space distortions (RSD), allowing us to recover unbiased fits down to scales k= 0.2 h Mpc(-1) without the need to smooth or grid the data. Our fitting methods are validated using a set of simulated 2MTF surveys. Using these simulations we also identify that the Gaussian distributed estimator for peculiar velocities of Watkins & Feldman is suitable for measuring the velocity power spectrum, but sub-optimal for the 2MTF data compared to using magnitude fluctuations delta m, and that, whilst our fits are robust to a change in fiducial cosmology, future peculiar velocity surveys with more constraining power may have to marginalize over this. We obtain scale-dependent constraints on the growth rate of structure in two bins, finding f sigma(8) = [0.55(-0.13)(+0.16), 0.40(-0.17)(+0.16)] in the ranges k = [0.007-0.055, 0.55-0.150] h Mpc(-)1. We also find consistent results using four bins. Assuming scale-independence we find a value f sigma(8) = 0.51(-0.08)(+0.09), a similar to 16 per cent measurement of the growth rate. Performing a consistency check of general relativity (GR) and combining our results with cosmic microwave background data only we find gamma = 0.45(-0.11)(+0.10), a remarkable constraint considering the small number of galaxies. All of our results are completely independent of the effects of galaxy bias, and fully consistent with the predictions of GR (scale-independent f sigma(8) and gamma approximate to 0.55).

KW - cosmological parameters

KW - large-scale structure of Universe

KW - cosmology: observations

KW - 2MASS REDSHIFT SURVEY

KW - COLD DARK-MATTER

KW - LARGE-SCALE STRUCTURE

KW - TULLY-FISHER CATALOG

KW - PECULIAR VELOCITIES

KW - BULK FLOW

KW - COSMOLOGICAL PARAMETERS

KW - LUMINOSITY FUNCTION

KW - SPACE DISTORTIONS

KW - ELLIPTIC GALAXIES

U2 - 10.1093/mnras/stx1521

DO - 10.1093/mnras/stx1521

M3 - Article

VL - 471

SP - 3135

EP - 3151

JO - Monthly Notices of the Royal Astronomical Society

T2 - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

SN - 0035-8711

IS - 3

ER -